Published by:
CGP EDU Academic Team
Published on: August 12, 2026
How many arithmetic progressions with 10 terms are there, whose first term is in the set {1, 2, 3, 4} and whose common difference is in the set {3, 4, 5, 6, 7} ?
Text Solution
Verified by ExpertsThe correct answer is:
20
(20)
Sol. First term can be chosen in 4 ways and the common difference again in 5 ways.
Hence possible number of arithmetic progressions
= 4 × 5 = 20
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